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Finding the Fourth Proportional to 800.06, 1,103.16 and 643.02

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Solution

The fourth proportional to 800.06, 1,103.16 and 643.02 is: 886.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.06 : 1,103.16 = 643.02 : x
  2. Step 2: Convert to fraction form
    800.06/1,103.16 = 643.02/x
  3. Step 3: Cross multiply
    800.06x = 1,103.16 × 643.02
  4. Step 4: Simplify right side
    800.06x = 709,353.94
  5. Step 5: Solve for x
    x = 709,353.94/800.06
  6. Step 6: Final answer
    x = 886.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.